2825854668 has 192 divisors, whose sum is σ = 9058775040. Its totient is φ = 741830400.

The previous prime is 2825854657. The next prime is 2825854679. The reversal of 2825854668 is 8664585282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2825854657) and next prime (2825854679).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2662858 + ... + 2663918.

It is an arithmetic number, because the mean of its divisors is an integer number (47181120).

Almost surely, 2^2825854668 is an apocalyptic number.

2825854668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825854668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529387520).

2825854668 is an abundant number, since it is smaller than the sum of its proper divisors (6232920372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2825854668 is a wasteful number, since it uses less digits than its factorization.

2825854668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 2825854668 is about 53158.7684958935. The cubic root of 2825854668 is about 1413.7846895357.

The spelling of 2825854668 in words is "two billion, eight hundred twenty-five million, eight hundred fifty-four thousand, six hundred sixty-eight".